Part A:

3.3V

2V

In a network with two or more sources, the current or voltage for any component is the algebraic sum of the effects produced by each source acting separately

Principle of duality in context of electrical networks states that. A dual of a relationship is one in which current and voltage are interchangeable. Two networks are dual to each other if one has mesh equation numerically identical to others node equation

instantaneous power refers to the power consumed at a particular point in time


A phenomenon in which an external force or a vibrating system forces another system around it to vibrate with greater amplitude at a specified frequency of operation.

The quality factor Q for the circuit is the electric energy stored in the circuit divided by the energy dissipated in one period.


Part B & C
11 a)i) Convert Voltage Source into current source
Apply KVL and find the loop current
Repeat the Process for the second source
Add Both the currents to get current through 5 Ohms
Current through 5 ohm is :0.2A
ii) Mesh Equations
Loop1: 2i1+3i23i3=0
Loop2:2i1+i2+4i3=0
i1i2=1A
Solving we get i1=1.5A, i2=0.5A,i3=0.9A
11 bi) Apply Nodal Analysis method
Power Delivered: 3.3w
ii)
I = 3 (2/( 2 + 2)) = 1.5 A,V=1.5 *2=3V
12a) For the circuit shown below, find the current L I through 6 Ω resistor using Thevenin’s theorem.
Step 1:
V_{TH}= 28V
Thevenin’s resistance
R_{TH} =4.66Ohms
Thevenin’s Equivalent Circuit
I_{L}=2.6A
12 b) For the circuit shown below, find the value of RL that absorbs maximum power from the circuit and the corresponding power under this condition.
Case 1:
Case 2:
Case 3:
Vab =10 v
To computute RTh
RTh =10ohms
Equivalent Circuit
the maximum power dissipated to RL= 0.625 watts.
13 a i)
13 aii) R_{N}= 7.5ohm+johms
I_{N}= 26.5angle (10.3)
Equivalent Circuit
14a.
General Circuit Diagram
Equations Over Damped, Under Damped and Critically Damped
Phasor Representation
14b)
i(0) _ 4 A
v(0)=15V
s1 _ _11.978, s2 _ _0.5218
i(t)=I_{S}+A_{1}e^{11.97t}+A_{2}e^{0.5218t}
A2 _ 0.0655
A1 _ _0.0655
iR(t)=
15. a) Statement :
Dot Convention in Coupled Circuits is used to establish the choice of correct sign for the mutually induced voltages in coupled circuits. Circular dot marks and/or special symbols are placed at one end of each of two coils which are mutually coupled to simplify the diagrammatic representation of the windings around its core.
Circuit Diagram
Analysis with equation
15.b i)Circuit Diagram
Equation:
Explanation with theory
15bii) Answers :−1.5, 2.5, 3.5 H; 5.5, 9.5, −3.5 H.
16a) Tie Set Matrix2 Marks
Determinant Matrix 2 Marks
possible number of trees = 12
The corresponding graph, tree, cotree, and loops 1, 2, 3:4 Marks
Loop Current Matrix2 Marks
4 Marks
16b)
Possible Tree and CoTree (3 Marks)
Tieset schedule:((6 Marks)
Tie Set Matrix
The branch impedance matrix
The loop impedance matrix
The loop equations :(6 Marks)
x = 4.1666 A, y = 1.16666 A, z = 2.5 A
The branch currents
I1 = x = 4.1666 A, I2 = y = 1.6666 A, I3 = z = 2.5 A, I4 = x − z = 1.6666 A, I5 = −x + y = −2.5 A, I6 = −y + z = 0.8334 A
The branch voltages
V1 = 5I1 − 50 = 29.167 V, V2 = 10I2 = 16.666 V, V3 = 5I3 = 12.50 V, V4 = 10I4 = 16.666 V, V5 = 5I5 = −12.50 V, V6 = 5I6 = 4.167 V
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